1680512 has 32 divisors (see below), whose sum is σ = 3529200. Its totient is φ = 794880.

The previous prime is 1680509. The next prime is 1680527. The reversal of 1680512 is 2150861.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2087 + ... + 2777.

2^1680512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764600).

1680512 is an abundant number, since it is smaller than the sum of its proper divisors (1848688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1680512 is an equidigital number, since it uses as much as digits as its factorization.

1680512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1680512 is about 1296.3456329236. The cubic root of 1680512 is about 118.8905143685.

The spelling of 1680512 in words is "one million, six hundred eighty thousand, five hundred twelve".